✦ LIBER ✦

Anomaly observed in the approximate analysis of vibrating rectangular plates with edges elastically restrained against rotation and translation

✍ Scribed by R.O. Grossi; P.A.A. Laura

Publisher: Elsevier Science
Year: 1982
Tongue: English
Weight: 223 KB
Volume: 15
Category: Article
ISSN: 0003-682X
DOI: 10.1016/0003-682x(82)90039-1

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✦ Synopsis

This paper deals with the solution of the title problem in the case of an orthotropic plate with three edges elastically restrained against rotation whilst transverse displacement is prevented. It is assumed that the fourth edge is elastically restrained against rotation and translation.

The natural boundary conditions are satisfied approximately at the fourth edge. The Rayleigh-Ritz method is used to derive an approximate fundamental frequency equation and a rather curious anomaly is shown to exist in the frequency values for a certain range of values of the rotational and translational spring parameters which govern the motion of the fourth edge.

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We find the title paper both useful and very interesting and we would like to congratulate the authors to their work [1]. On the other hand it is also the purpose of this letter to add some pertinent references which have been inadvertently omitted by the authors. Reference [2] deals with elastical